J.P. Vigier's new theory of atomic energy release
V is the effective Newtonian potential energy per unit mass for the "geon" that is a thin spherical shell of charge Q at radius r with angular momentum J and mass M.
The dimensionless parameter is
V/c^2 = (ahc + bQ^2)/Mc^2r + (1/2)/\r^2 + (J/Mcr)^2
If we think of a single electron as a spatially extended micro-geon (e.g. J. P. Vigier's "tight atomic states" energy source)
Then for N = 1
= [a(Compton Wave Length) + b(Classical Electron Radius)]/r + ZPF 3D Harmonic Oscillator + (Compton Wave Length/r)^2
This is the 00 Newtonian limit of the Kerr-Newman metric I suspect.
dV/dr = 0
d^2V/dr^2 > 0
On Jan 22, 2006, at 3:24 PM, Jack Sarfatti wrote:
On Jan 22, 2006, at 8:33 AM, Figaro wrote:
As for condensed charges it's the vacuum pressure that hold them together as I saw when I watch in them being formed off the tip of a tungsten needle in Hal's Lab.
Depends what you mean by "vacuum pressure".
Pressure acts in two opposing ways electrically and gravitationally.
Consider a gas inside a piston free to move in a cylinder. Assume the pressure is positive. This means you have to do external work on the piston to push it into the cylinder decreasing the volume. This is the electrical force effect from collisions of the particles with the wall. However, according to Einstein a positive pressure exerts an attractive gravity force. Of course this attractive force is tiny compared to the electrical force working the opposite way for ordinary gases. However, for zero point energy it's a new ball game.
My equations are elementary physics. A more precise equation is
V =( ahc + bQ^2)/Mr + (1/2)c^2/\r^2 + (J/Mr)^2
For a charge cluster of total charge Q, total mass M, total angular momentum J. ahc/Mr is the Casimir potential per unit mas. The parameters a & b are dimensionless form factors.
/\ =/= 0 inside the shell of charge. /\ = 0 outside (approximately)
Q = Ne
M = Nm
J = Nj
If no orbital angular momentum j = h/4pi
Note, taking /\ ~ (mc/h)^2 corresponds to a virtual electron-positron plasma cloud around the bare electron shell.
The vacuum polarization has negative energy ZPF density with positive pressure. But there are 4 polarization states 2 for each virtual fermion in the pair. The virtual photons have positive ZPF energy with negative pressure. The extra fermion polarization survives so the net effect is positive ZPF pressure i.e. /\ < 0.